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andrew-mc [135]
3 years ago
10

3x - y = 2and2x + y = 4​

Mathematics
1 answer:
Naddik [55]3 years ago
6 0

\frac{3}{1}Answer:

Step-by-step explanation:

3x-y = 2

2x+y =4

put them into slope intercept form

y=3x-2

y=-2x+4

Now, you can either graph it or use substitution

3x-2 = -2x+4

+2x +2x

5x -2 = 4

+2 +2

5x = 6

5x/5 = 6/5

x = 6/5

3x -2 = y

3(6/5) -2 = y

3 x 6 / 1 x 5 = 18/5

3 3/5 -2 = 1 3/5

Let me know if it's wrong.

Hope this helps

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Your income last year was $27,000 from your main job, $2,200 from a part time job and $600 from interest earned on investments.
kotegsom [21]

Answer:

$894

Step-by-step explanation:

$27,000+$2,200+$600= $29,800

$29,800*0.03=$894

5 0
3 years ago
Find the distance between these two points (-1,0), (8,6)
julia-pushkina [17]
The distance formula is the radical (x2-x1)2 + (y2-y1)^2. So for the x value, you subtract (-1) from 8. But be careful. It’s not 8-1. IT’S 8-(-1). Which x value, 9 should be squared. Which it is 81. The y value, you subtract 0 from 6. Which you should have 6 as your y value. Then, again you have to squared it. So, 6^2 is 36. Now that you have both of your x and y value, you have to subtract them again. In order to subtract, you subtract the y value from the x value. In other words, 81-36. The answer should be 45. But 45 is irrational. Because it can’t be rational under the radical form. So to simplified it, you have to find a number that is rational enough to get out from the inside of the radical form. The only number that would work is 9 and 5. So rad 9 is rational because it could escape from the inside. Which it’s 3 once it’s out. But, 5 is irrational and can’t go out. As a result, the answer is 3 rad 5. Or the 3 is outside of the radical form and 5 is the inside.
8 0
4 years ago
Which inequality represents the values of x that ensure triangle ABC exists? a triangle with side lengths of 6.5 units, 3.5 unit
nikdorinn [45]

Answer:

1 < x < 7.5

Step-by-step explanation:

This problem can be solved using given below property of triangle.

Sum of two sides is always greater than third side of triangle.

Difference of two sides is always lesser than third side of triangle.

_______________________________________________

Given

sides length

6.5 units

3.5 units

Third side is 2.5 +  x

using the property, Sum of two sides is always greater than third side of triangle.

6.5 + 3.5 > 2.5 +x

=>10 >2.5 + x

=>2.5 + x< 10

=> x< 10 -2.5

=> x < 7.5

using the property, Difference of two sides is always lesser than third side of triangle.

6.5 - 3.5 >  2.5 +x

=>3.5 >  2.5 +x

=> 2.5 +x  > 3.5

=> x  > 3.5 - 2.5

=> x  > 1

combining both we have

1 < x < 7.5

out of the given option none is 1 < x < 7.5

hence, correct answer will be 1 < x < 7.5 and wrong option can be claimed by student.

8 0
3 years ago
Read 2 more answers
Find the missing side of each triangle. Leave your answers in simplest radical form.
jeka57 [31]

Answer:

x = 2\sqrt{34}

Step-by-step explanation:

Using Pythagoras identity in the right triangle

x² = 10² + 6² = 100 + 36 = 136 ( take the square root of both sides )

x = \sqrt{136} = \sqrt{4(34)} = 2\sqrt{34}

3 0
3 years ago
Complete the number sentence to show an example of the Distributive Property.
galben [10]
The answer would be 18

Hope that helps.
3 0
3 years ago
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